Integration of higher Korteweg-de Vries equation with a self-consistent source in class of periodic functions
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Publication:5168983
DOI10.13108/2013-5-1-102zbMath1299.35266OpenAlexW2322231512MaRDI QIDQ5168983
M. M. Matyoqubov, Alisher B. Yakhshimuratov
Publication date: 21 July 2014
Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.13108/2013-5-1-102
Sturm-Liouville operatorinverse spectral problemeigenvalue and eigenfunctionhigher Korteweg-de-Vries equation with a self-consistent source
Related Items (2)
Integration of the Korteweg-de Vries equation with loaded terms and a self-consistent source in the class of rapidly decreasing functions ⋮ Solutions and Painlevé property for the KdV equation with self-consistent source
Cites Work
- The nonlinear Schrödinger equation with a self-consistent source in the class of periodic functions
- A generalization of Borg's inverse theorem for Hill's equations
- The periodic problem for the Korteweg-de Vries equation
- Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
- Solution of an initial-boundary value problem for coupled nonlinear waves
- Spectral conservation laws for periodic nonlinear equations of the Melnikov type
- Integration of the nonlinear Schrodinger equation with a source
- Periodic solutions of the KdV equation
- Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
- Shorter Notes: On a Hill's Equation with Double Eigenvalues
- The inverse problem for periodic potentials
- Method for Solving the Korteweg-deVries Equation
- Integrals of nonlinear equations of evolution and solitary waves
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